4(x-2)-3(x-1)=8x-10

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Solution for 4(x-2)-3(x-1)=8x-10 equation: 


Simplifying
4(x + -2) + -3(x + -1) = 8x + -10

Reorder the terms:
4(-2 + x) + -3(x + -1) = 8x + -10
(-2 * 4 + x * 4) + -3(x + -1) = 8x + -10
(-8 + 4x) + -3(x + -1) = 8x + -10

Reorder the terms:
-8 + 4x + -3(-1 + x) = 8x + -10
-8 + 4x + (-1 * -3 + x * -3) = 8x + -10
-8 + 4x + (3 + -3x) = 8x + -10

Reorder the terms:
-8 + 3 + 4x + -3x = 8x + -10

Combine like terms: -8 + 3 = -5
-5 + 4x + -3x = 8x + -10

Combine like terms: 4x + -3x = 1x
-5 + 1x = 8x + -10

Reorder the terms:
-5 + 1x = -10 + 8x

Solving
-5 + 1x = -10 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
-5 + 1x + -8x = -10 + 8x + -8x

Combine like terms: 1x + -8x = -7x
-5 + -7x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -7x = -10 + 0
-5 + -7x = -10

Add '5' to each side of the equation.
-5 + 5 + -7x = -10 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = -10 + 5
-7x = -10 + 5

Combine like terms: -10 + 5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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